Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns
DOI10.1137/22m1543082zbMath1530.92014arXiv2212.12034MaRDI QIDQ6084956
Unnamed Author, Björn Sandstede, Alexandria Volkening, Angela Yun Zhu
Publication date: 2 December 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12034
variabilitypattern formationcellular automatontopological data analysisagent-based modelzebrafishalpha-shapes
Persistent homology and applications, topological data analysis (55N31) Developmental biology, pattern formation (92C15) Dynamical aspects of cellular automata (37B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Confidence sets for persistence diagrams
- Ripser: efficient computation of Vietoris-Rips persistence barcodes
- How does cellular contact affect differentiation mediated pattern formation?
- A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
- Modeling stripe formation on growing zebrafish tailfins
- Modelling collective cell migration: neural crest as a model paradigm
- Cell size, mechanical tension, and GTPase signaling in the single cell
- On estimating the perimeter using the alpha-shape
- State transitions and the continuum limit for a 2D interacting, self-propelled particle system
- Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks
- A Primer of Swarm Equilibria
- Improving homology estimates with random walks
- The Structure and Stability of Persistence Modules
- Topology and data
- On the shape of a set of points in the plane
- Three-dimensional alpha shapes
- Robust Topological Inference: Distance To a Measure and Kernel Distance
- Consistent Dynamics of Stripes Formed by Cell-Type Interfaces
- The chemical basis of morphogenesis
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The sensitivity of Turing self-organization to biological feedback delays: 2D models of fish pigmentation
- PERSISTENCE BARCODES FOR SHAPES
- Topological data analysis of zebrafish patterns
This page was built for publication: Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns
